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Algebra Vocab #2

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Section 1

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Constant of variation

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Algebra Math

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Date created

Mar 1, 2020

Cards (35)

Section 1

(35 cards)

Constant of variation

Front

the nonzero constant a in the direct variation equation y=ax

Back

Scatterplot

Front

A graph of a set of data pairs (x,y) used to determine if there is a relationship between the variables x and y

Back

Equation in two variables

Front

an equation that contains two different variables

Back

Rate of change

Front

a comparison of how much one quantity changes, on average, relative to the change in another quantity

Back

Vertex of an absolute value graph

Front

the highest or lowest point on the graph of an absolute value function

Back

Standard form of a linear equation

Front

a linear equation written in the form Ax+By=C where A and B are not both zero

Back

Slope

Front

the ratio of the vertical change to the horizontal change

Back

Relation

Front

a mapping or pairing of input values with output values

Back

Linear function

Front

A function that can be written in the form y=mx+b, where x is the independent variable and m and b are real numbers. Its graph is a line.

Back

Transformation

Front

Changes a graph's size, shape, position, or orientation

Back

X-intercept

Front

the x-coordinate of a point where a graph crosses the x-axis

Back

Negative correlation

Front

The paired data (x,y) have negative correlation if y decreases as x increases

Back

Best-fitting line

Front

the line that lies as close as possible to all the data points in a scatter plot

Back

Positive correlation

Front

The paired data (x,y) have positive correlation if y increases as x increases

Back

Linear inequality in two variables

Front

An inequality that can be written in one of the following forms: Ax + By < C, Ax + By > C, Ax + By ≤ C, Ax + By ≥ C, or Ax + By ≠ C, where A, B, and C are constants and A and B are not both 0.

Back

Piecewise function

Front

a function defined by at least two equations, each of which applies to a different part of the function's domain

Back

Perpendicular lines

Front

two lines in the same plane that intersect to form right angles

Back

Independent variable

Front

The input variable in an equation in two variables

Back

Point slope form

Front

an equation of a line written in the form y-y1=m(x-x1)

Back

Half-plane

Front

the two regions into which the boundary line of a linear inequality divides the coordinate plane

Back

Slope-intercept form

Front

a linear equation written in the form y=mx+b where m is the slope and b is the y-intercept of the equation's graph

Back

Range

Front

The set of output values of a function.

Back

Dependent variable

Front

The output variable in an equation in two variables

Back

Step function

Front

A piecewise function defined by a constant value over each part of its domain

Back

Parent function

Front

the most basic function in a family of functions

Back

Absolute value function

Front

a function that contains an absolute value expression

Back

Translation

Front

Transformation that shifts a graph horizontally and/or vertically but does not change its size, shape, or orientation

Back

Correlation coefficient

Front

A measure denoted by r where -1<=r<=1 of how well a line fits a set of data pairs (x,y)

Back

Domain

Front

The set of input values of a function.

Back

Direct variation

Front

two variables x and y show direct variation provided that y=ax where a is a nonzero constant

Back

Parallel lines

Front

two lines in the same plane that do not intersect

Back

Function notation

Front

using f(x) to represent the dependent variable of a function

Back

Y-intercept

Front

the y-coordinate of a point where a graph crosses the y-axis

Back

Function

Front

a relation for which each input has exactly one output

Back

Reflection

Front

Transformation that flips a graph or figure in a line

Back